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Integrally Closed Torsionless Rings

Published online by Cambridge University Press:  20 November 2018

David E. Rush
David E. Rush*
Affiliation:
Department of Mathematics and Computer Science, University of California, Riverside, California92521
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Abstract

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A characterization of torsionless rings is given which shows that the integral closure of a torsionless ring need not be Prüfer.

Keywords

13C0513A18
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 2 , 01 June 1988 , pp. 215 - 216
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Fontana, M., Topologically defined classes of commutative rings, Annali Mat. Pura Appl. 123 (1980), pp. 331–355.Google Scholar
2. Gilmer, R., Multiplicative Ideal Theory, Queen's University, Kingston, Ontario, 1968.Google Scholar
3. Matlis, E., Torsion-free Modules, The University of Chicago Press, Chicago, 1972.Google Scholar
4. Matlis, E., Rings of Type I, J. Algebra 23 (1972), pp. 76–87.Google Scholar